If you think someone behaves in an unacceptable way and does not do what they are told, you can say they are rebellious. a rebellious teenager + rebelliousness re·bel·lious·ness the normal rebelliousness of youth
A rebellious group of people is a group involved in taking violent action against the rulers of their own country, usually in order to change the system of government there. The rebellious officers, having seized the radio station, broadcast the news of the overthrow of the monarchy